Explanation:
The number of times the 6-sided number cube will be rolled will is

Let the numbers greater than 4 be represented below as


The number of sample space will be

The probability of rolling a number greater than 4 will be calculated below as

Hence,
To calculate the number of times a number greater than 4 will be rolled will be calculated below as

Hence,
The final answer is
Y-axis symmetry=(r, theta)=(-r,theta)
-5-5cos(theta)=r
-r=5+5cos(theta)
no y-axis symmetry
x-axis symmetry=(r,theta)=(r,-theta)
cosine is an even function, so yes it is symmetric around x-axis
origin symmetry=(r,theta)=(-r,theta) or (r, theta+pi)
no, as there is no y-axis symmetry
Answer:
A BT = CT
Step-by-step explanation:
BAT ≅ CAT
That means
The angles are the same and the sides are the same by CPCTC
AB = AC
CT = BT
AT=AT
and
< BAT = <CAT
< ATB = <ATC
< TBA = <TCA
Given the choices on the left
A BT = CT is one of them
1. A in some part is correct, but the triangles are indeed correct, and the argument is for HL, so the answer is C
2. Are congruent by SSS (both shares a side).
Ratio of children, adults and pensioners is 1 : 2 : 8/3 = 3 : 6 : 8.
Let, 3x is number of children.
So, 6x is number of adults and 8x is number of pensioners.
Now,
3x + 6x + 8x = 85
17x = 85
x = 5
Therefore, number of pensioners are 8×5 = 40.
Hence, this is the required solution.